scholarly journals Effective interaction techniques for the Gamow shell model

2005 ◽  
Vol 71 (4) ◽  
Author(s):  
Gaute Hagen ◽  
M. Hjorth-Jensen ◽  
Jan S. Vaagen
2018 ◽  
Vol 194 ◽  
pp. 01006
Author(s):  
Kalin Drumev

Results obtained for the energy spectra and the low-lying positive-parity energy eigenstates of the upper p f -shell nuclei 64Ge and 68Se with the use of the effective interaction JUN45 are reported. We address the question of how appropriate is the possibility to construct a symmetry-adapted shell model in a single oscillator shell using a Pairing-plus-Quadrupole Hamiltonian. Specifically, we study the goodness of the symmetries pseudo SU(3) and O(6) in the structure of the energy eigenstates. Finally, we relate our results to a proposed mixed-symmetry approach which is able to simultaneously account for the presence of both the pairing and the quadrupole modes as the most important ingredients in the effective interaction while using a restricted part of the full model space.


2013 ◽  
Vol 22 (12) ◽  
pp. 1350091 ◽  
Author(s):  
VIKAS KUMAR ◽  
P. C. SRIVASTAVA

The recently measured experimental data of 79,81,83 Se isotopes have been interpreted in terms of shell model (SM) calculations. The calculations have been performed in f5/2pg9/2 space with the recently derived interactions, namely JUN45 and jj44b. To study the importance of the proton excitations across the Z = 28 shell in this region, we have also performed calculation in fpg9/2 valence space using an fpg effective interaction with 48 Ca core and imposing a truncation. Excitation energies, B(2) values, quadrupole moments and magnetic moments are compared with the experimental data available. Present study reveals the importance of proton excitations across the Z = 28 shell for predicting quadrupole and magnetic moments.


2018 ◽  
Vol 193 ◽  
pp. 01005 ◽  
Author(s):  
Houda NAÏDJA ◽  
Frédéric NOWACKI

Within the shell-model framework the low-lying states energies, E2 and M1 transitions of chains of nuclei 52 ≤ Z ≤ 60 with 82 ≤ N ≤ 88 are investigated. We use the N3LOP effective interaction derived from Effective Field Theory Potentials and phenomenologically constrained. We noticed clear collective features in N = 86 and 88 isotones, with signature of triaxial γ-bands.


1995 ◽  
Vol T56 ◽  
pp. 58-66 ◽  
Author(s):  
T Engeland ◽  
M Hjorth-Jensen ◽  
A Holt ◽  
E Osnes

1985 ◽  
Vol 159 (4-6) ◽  
pp. 228-232 ◽  
Author(s):  
H. Sagawa ◽  
B.A. Brown ◽  
O. Scholten

2019 ◽  
Vol 14 (31) ◽  
pp. 28-36
Author(s):  
Ali A. Alzubadi

Shell model and Hartree-Fock calculations have been adopted to study the elastic and inelastic electron scattering form factors for 25Mg nucleus. The wave functions for this nucleus have been utilized from the shell model using USDA two-body effective interaction for this nucleus with the sd shell model space. On the other hand, the SkXcsb Skyrme parameterization has been used within the Hartree-Fock method to get the single-particle potential which is used to calculate the single-particle matrix elements. The calculated form factors have been compared with available experimental data.


2020 ◽  
Vol 1 ◽  
pp. 156
Author(s):  
J. Sinatkas ◽  
L. D. Skouras ◽  
D. Strottman ◽  
J. D. Vergados

The structure of the Ζ,Ν < 50 nuclei is examined in a model space consisting of the 0g9/2, 1p1/2, 1p3/2 and the 0f5/2 hole orbitals outside the doubly closed 100Sn core. The effective interaction for this model space is derived by introducing second order corrections to the Sussex matrix elements, while the one-hole energies are deduced by a least square fit to the observed levels. The results of the calculation are found to be in very satisfactory agreement with experiment for all nuclei with 38<Ζ<46 but for Ζ<38 this agreement begins to deteriorate. Such a feature possibly indicates the appearance of deformation and the breaking of the Ν=50 core. The wavefunctions of the calculation are used to determine double β matrix elements in the Ge, Se, Sr and Kr isotopes.


1968 ◽  
Vol 46 (18) ◽  
pp. 2091-2106 ◽  
Author(s):  
N. de Takacsy

Shell-model calculations are performed with the Tabakin potential for the simplest configurations in 14N, 15O, 16O, 17O, 18O, and 18F. The second-order ladder diagrams are calculated in relative coordinates, using harmonic oscillator intermediate states; all second-order corrections to the effective interaction are included.


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